138523680
138,523,680 is an even composite number composed of six prime numbers multiplied together.
138523680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138523680:
25 × 32 × 5 × 19 × 61 × 83
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 19 × 61 × 83)See below for interesting mathematical facts about the number 138523680 from the Numbermatics database.
Names of 138523680
- Cardinal: 138523680 can be written as One hundred thirty-eight million, five hundred twenty-three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3852368 × 108
Factors of 138523680
Divisors of 138523680
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 61 72 76 80 83 90 95 96 114 120 122 144 152 160 166 171 180 183 190 228 240 244 249 285 288 304 305 332 342 360 366 380 415 456 480 488 498 549 570 608 610 664 684 720 732 747 760 830 855 912 915 976 996 1098 1140 1159 1220 1245 1328 1368 1440 1464 1494 1520 1577 1660 1710 1824 1830 1952 1992 2196 2280 2318 2440 2490 2656 2736 2745 2928 2988 3040 3154 3320 3420 3477 3660 3735 3984 4392 4560 4636 4731 4880 4980 5063 5472 5490 5795 5856 5976 6308 6640 6840 6954 7320 7470 7885 7968 8784 9120 9272 9462 9760 9960 10126 10431 10980 11590 11952 12616 13280 13680 13908 14193 14640 14940 15189 15770 17385 17568 18544 18924 19920 20252 20862 21960 23180 23655 23904 25232 25315 27360 27816 28386 29280 29880 30378 31540 34770 37088 37848 39840 40504 41724 43920 45567 46360 47310 50464 50630 52155 55632 56772 59760 60756 63080 69540 70965 75696 75945 81008 83448 87840 91134 92720 94620 96197 101260 104310 111264 113544 119520 121512 126160 139080 141930 151392 151890 162016 166896 182268 185440 189240 192394 202520 208620 227088 227835 243024 252320 278160 283860 288591 303780 333792 364536 378480 384788 405040 417240 454176 455670 480985 486048 556320 567720 577182 607560 729072 756960 769576 810080 834480 865773 911340 961970 1135440 1154364 1215120 1442955 1458144 1539152 1668960 1731546 1822680 1923940 2270880 2308728 2430240 2885910 3078304 3463092 3645360 3847880 4328865 4617456 5771820 6926184 7290720 7695760 8657730 9234912 11543640 13852368 15391520 17315460 23087280 27704736 34630920 46174560 69261840 138523680
- Sum of all divisors σ(n): 511842240
- Sum of proper divisors (its aliquot sum) s(n): 373318560
- 138523680 is an abundant number, because the sum of its proper divisors (373318560) is greater than itself. Its abundance is 234794880
Bases of 138523680
- Binary: 10000100000110110100001000002
- Hexadecimal: 0x841B420
- Base-36: 2AH1K0
Squares and roots of 138523680
- 138523680 squared (1385236802) is 19188809920742400
- 138523680 cubed (1385236803) is 2658104565041745580032000
-
The
square root of 138523680 is 11769.6083197361 -
The
cube root of 138523680 is 517.4177703135
Scales and comparisons
How big is 138523680?- 138,523,680 seconds is equal to 4 years, 21 weeks, 6 hours, 48 minutes.
-
To count from 1 to 138,523,680 would take you about six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138523680 cubic inches would be around 43.1 feet tall.
Recreational maths with 138523680
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138523680 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
APA style:
Numbermatics. (2024). Number 138523680 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/138523680/
Chicago style:
Numbermatics. 2024. "Number 138523680 - Facts about the integer". https://numbermatics.com/n/138523680/
The information we have on file for 138523680 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138523680, math, Factors of 138523680, curriculum, school, college, exams, university, Prime factorization of 138523680, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight million, five hundred twenty-three thousand, six hundred eighty.